Full solution

Q. How do you write

116,000

in scientific notation?

\newline

\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}

Identify Significant Digit: Identify the most significant digit in $116,000$ and the position of the decimal point after that digit. $\newline$ The most significant digit in $116,000$ is $1$ . To express this number in scientific notation, we need to place the decimal point after the first non-zero digit, which is $1$ . So, we move the decimal point to the right of the first $1$ , which gives us $1.16$ .
Count Decimal Point: Count the number of places the decimal point has been moved. $\newline$ To get from $116,000$ to $1.16$ , we move the decimal point $5$ places to the left.
Write as Product: Write the number as a product of the decimal obtained in Step $1$ and $10$ raised to the power of the number of places the decimal point was moved in Step $2$ . $\newline$ Since we moved the decimal point $5$ places to the left, we multiply $1.16$ by $10$ raised to the power of $5$ .
Combine Results: Combine the results from Steps $1$ and $3$ to express $116,000$ in scientific notation. $\newline$ The scientific notation of $116,000$ is $1.16 \times 10^5$ .